Part 1 Classifying Rational Numbers Solutions

Categories of Rational Numbers

Use the information found in the Categories of Rational Numbers to complete the table below.

Category Definition Examples Non-Examples
Real Numbers Real numbers include all of the numbers you have learned so far. Rational and irrational numbers are subsets of real numbers. 810 63.451 119 π 1.41421.... Made up numbers such as twoteenth or firty.
Rational Numbers Rational numbers can be written as the fraction or quotient of two integers. When the fraction is divided the quotient is a terminating decimal or a repeating decimal. 6 2491 0.666¯ π 0.648732...15.09854...
Integers Integers include positive numbers, negative numbers, and 0. Integers do not include decimals. Fractions are only integers if their denominator is 1. 195,678 19 0 16.8700.9589117
Whole Numbers Whole numbers begin with 0, and are positive integers. Whole numbers do not include negative numbers.

983 
45
3,604

4.31 16 79
Natural Numbers Natural numbers are the positive whole integers. Natural numbers do not include 0. These are the numbers you use to count objects. 1, 2, 3...599, 600, 601...1,110;  1,111;  1,112... 1875.4978

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